Parameters shared by all the commands.
Show the list of parameters
random_seed (default: 0)
Integer to use as the random seed to initialize the random number generator.
log_to_stderr (default: 0)
log_level (default: 2)
Possible values: 0 (none), 1 (fatal), 2 (error), 3 (warn), 4 (info)
Controls the verbosity of the messages generated by the FLANN library functions.
database_path
Path to database in which to store the extracted data.
colmap feature_extractor: Perform feature extraction or import features for a set of images.
Read more: Feature Detection and Extraction
Show the list of parameters
image_path
Root path to folder which contains the images.
image_list_path
Optional list of images to read. The list must contain the relative path of the images with respect to the image_path.
descriptor_normalization (default: l1_root
)
Possible values: l1_root
, l2
Whether to use L1 normalization of each descriptor followed by element-wise square rooting (RootSIFT) or standard L2 normalization.
RootSIFT descriptors are usually better than standard SIFT. Proposed in Three things everyone should know to improve object retrieval, R. Arandjelovic and A. Zisserman, CVPR 2012.
ImageReader.mask_path
Optional root path to folder which contains image masks. For a given image, the corresponding mask must have the same sub-path below this root as the image has below image_path. The filename must be equal, aside from the added extension .png
. For example, for an image image_path/abc/012.jpg
, the mask would be mask_path/abc/012.jpg.png
. No features will be extracted in regions where the mask image is black (pixel intensity value 0 in grayscale).
ImageReader.camera_model (default: SIMPLE_RADIAL
)
Possible values: SIMPLE_PINHOLE
, PINHOLE
, SIMPLE_RADIAL
, RADIAL
, OPENCV
, OPENCV_FISHEYE
, FULL_OPENCV
, FOV
, SIMPLE_RADIAL_FISHEYE
, RADIAL_FISHEYE
, THIN_PRISM_FISHEYE
Name of the camera model.
See: Camera Models
ImageReader.single_camera (default: 0)
Whether to use the same camera for all images.
ImageReader.single_camera_per_folder (default: 0)
Whether to use the same camera for all images in the same sub-folder.
ImageReader.single_camera_per_image (default: 0)
Whether to use a different camera for each image.
ImageReader.existing_camera_id (default: -1)
Whether to explicitly use an existing camera for all images. Note that in this case the specified camera model and parameters are ignored.
ImageReader.camera_params
Manual specification of camera parameters. If empty, camera parameters will be extracted from EXIF, i.e. principal point and focal length.
ImageReader.default_focal_length_factor (default: 1.2)
If camera parameters are not specified manually and the image does not have focal length EXIF information, the focal length is set to the value default_focal_length_factor * max(width, height)
.
ImageReader.camera_mask_path
Optional path to an image file specifying a mask for all images. No features will be extracted in regions where the mask is black (pixel intensity value 0 in grayscale).
SiftExtraction.num_threads (default: -1)
Number of threads for feature extraction.
SiftExtraction.use_gpu (default: 1)
Whether to use the GPU for feature extraction.
SiftExtraction.gpu_index (default: -1)
Index of the GPU used for feature extraction. For multi-GPU extraction, you should separate multiple GPU indices by comma, e.g. "0,1,2,3".
See: Multi-GPU support in feature extraction/matching
SiftExtraction.max_image_size (default: 3200)
Maximum image size, otherwise image will be down-scaled.
SiftExtraction.max_num_features (default: 8192)
Maximum number of features to detect, keeping larger-scale features.
SiftExtraction.first_octave (default: -1)
First octave in the pyramid, i.e. -1 upsamples the image by one level. By convention, the octave of index 0 starts with the image full resolution. Specifying an index greater than 0 starts the scale space at a lower resolution (e.g. 1 halves the resolution). Similarly, specifying a negative index starts the scale space at an higher resolution image, and can be useful to extract very small features (since this is obtained by interpolating the input image, it does not make much sense to go past -1).
SiftExtraction.num_octaves (default: 4)
Number of octaves. Increasing the scale by an octave means doubling the size of the smoothing kernel, whose effect is roughly equivalent to halving the image resolution. By default, the scale space spans as many octaves as possible (i.e. roughly log2(min(width, height))
), which has the effect of searching keypoints of all possible sizes.
SiftExtraction.octave_resolution (default: 3)
Number of levels per octave. Each octave is sampled at this given number of intermediate scales. Increasing this number might in principle return more refined keypoints, but in practice can make their selection unstable due to noise.
SiftExtraction.peak_threshold (default: 0.0067)
Peak threshold for detection. This is the minimum amount of contrast to accept a keypoint. Increase to eliminate more keypoints.
SiftExtraction.edge_threshold (default: 10)
Edge threshold for detection. Decrease to eliminate more keypoints.
SiftExtraction.estimate_affine_shape (default: 0)
Estimate affine shape of SIFT features in the form of oriented ellipses as opposed to original SIFT which estimates oriented disks.
SiftExtraction.max_num_orientations (default: 2)
Maximum number of orientations per keypoint if not SiftExtraction.estimate_affine_shape
.
SiftExtraction.upright (default: 0)
Fix the orientation to 0 for upright features.
SiftExtraction.domain_size_pooling (default: 0)
Enable the more discriminative DSP-SIFT features instead of plain SIFT. Domain-size pooling computes an average SIFT descriptor across multiple scales around the detected scale. DSP-SIFT outperforms standard SIFT in most cases.
This was proposed in Domain-Size Pooling in Local Descriptors: DSP-SIFT, J. Dong and S. Soatto, CVPR 2015.
This has been shown to outperform other SIFT variants and learned descriptors in Comparative Evaluation of Hand-Crafted and Learned Local Features, Schönberger, Hardmeier, Sattler, Pollefeys, CVPR 2016.
SiftExtraction.dsp_min_scale (default: 0.1667)
SiftExtraction.dsp_max_scale (default: 3)
SiftExtraction.dsp_num_scales (default: 10)
Domain-size pooling parameters.
See: SiftExtraction.domain_size_pooling
穷举匹配(Exhaustive Matching):当你的数据集比较小的时候(小于100张),选择这种模式。这种模式匹配速度足够快并且是最好的效果。每张图片都与其他的所有图片进行匹配。最后生成的块大小取决于你载入内存中的图片的数量。
顺序匹配(Sequential Matching):当你拍照的时候是以连续的方式(比如视频)采集图像的话,这种方式是有用的。连续帧具有视觉重叠。每一帧的图像不必和其他所有图像都进行匹配。只有连续帧匹配就OK了。该模式也有内置的循环检测,第N个图像与其视觉上最为相似的图片匹配。但需要事先训练字典树。https://demuc.de/colmap/ 在这里可以下载。此种方法非常适合在视频序列中大量采用的情况,相比于全局匹配模式大大降低了matching时间。
字典树匹配(Vocabulary Tree Matching):在这种匹配模式下,每张图片都与与他视觉上最相近的经过按空间顺序重新排序的邻居匹配。也需要实现训练好字典树,网页地址同上。
空间匹配(Spatial Matching):这种模式下每个图像均与其空间最近邻居进行匹配。可以在数据库中手动设置空间位置。默认情况下colmap还会从EXIF中获取GPS的相关信息并用来寻找空间上最相近的邻居。如果有准确的先验空间位置信息的话,这种是推荐的匹配模式。
传递匹配(Transitive Matching):这种匹配模式使用已经存在的特征匹配的传递关系来完成更完整的匹配图。例如如果图像A匹配B而B也匹配C,那么colmap将尝试直接匹配A到C。
colmap exhaustive_matcher: Performs feature matching after performing feature extraction.
Read more: Feature Matching and Geometric Verification
Show the list of parameters
SiftMatching.num_threads (default: -1)
Number of threads for feature matching and geometric verification.
SiftMatching.use_gpu (default: 1)
Whether to use the GPU for feature matching.
SiftMatching.gpu_index (default: -1)
Index of the GPU used for feature matching. For multi-GPU matching, you should separate multiple GPU indices by comma, e.g. "0,1,2,3".
See: Multi-GPU support in feature extraction/matching
SiftMatching.max_ratio (default: 0.8)
Maximum distance ratio between first and second best match.
SiftMatching.max_distance (default: 0.7)
Maximum distance to best match.
SiftMatching.cross_check (default: 1)
Whether to enable cross checking in matching.
SiftMatching.max_error (default: 4)
Maximum epipolar error in pixels for geometric verification.
SiftMatching.max_num_matches (default: 32768)
Maximum number of matches.
SiftMatching.confidence (default: 0.999)
Confidence threshold for geometric verification.
SiftMatching.max_num_trials (default: 10000)
Maximum number of RANSAC iterations. Note that this option overrules the SiftMatching.min_inlier_ratio
option.
SiftMatching.min_inlier_ratio (default: 0.25)
A priori assumed minimum inlier ratio, which determines the maximum number of iterations.
SiftMatching.min_num_inliers (default: 15)
Minimum number of inliers for an image pair to be considered as geometrically verified.
SiftMatching.multiple_models (default: 0)
Whether to attempt to estimate multiple geometric models per image pair.
SiftMatching.guided_matching (default: 0)
Whether to perform guided matching, if geometric verification succeeds.
SiftMatching.planar_scene (default: 0)
Force Homography use for Two-view Geometry (can help for planar scenes).
SiftMatching.compute_relative_pose (default: 0)
Whether to estimate the relative pose between the two images and save them to the database.
ExhaustiveMatching.block_size (default: 50)
Block size, i.e. number of images to simultaneously load into memory.
colmap mapper: Sparse 3D reconstruction/mapping of the dataset using SfM after performing feature extraction and matching.
Show the list of parameters
Mapper.min_num_matches (default: 15)
The minimum number of matches for inlier matches to be considered.
Mapper.ignore_watermarks (default: 0)
Whether to ignore the inlier matches of watermark image pairs.
Mapper.multiple_models (default: 1)
Whether to reconstruct multiple sub-models.
Mapper.max_num_models (default: 50)
The number of sub-models to reconstruct.
Mapper.max_model_overlap (default: 20)
The maximum number of overlapping images between sub-models. If the current sub-models shares more than this number of images with another model, then the reconstruction is stopped.
Mapper.min_model_size (default: 10)
The minimum number of registered images of a sub-model, otherwise the sub-model is discarded.
Mapper.init_image_id1 (default: -1)
Mapper.init_image_id2 (default: -1)
The image identifiers used to initialize the reconstruction. Note that only one or both image identifiers can be specified. In the former case, the second image is automatically determined.
Mapper.init_num_trials (default: 200)
The number of trials to initialize the reconstruction.
Mapper.extract_colors (default: 1)
Whether to extract colors for reconstructed points.
Mapper.num_threads (default: -1)
The number of threads to use during reconstruction.
Mapper.min_focal_length_ratio (default: 0.1)
Mapper.max_focal_length_ratio (default: 10)
Mapper.max_extra_param (default: 1)
Thresholds for filtering images with degenerate intrinsics.
Mapper.ba_refine_focal_length (default: 1)
Mapper.ba_refine_principal_point (default: 0)
Mapper.ba_refine_extra_params (default: 1)
Which intrinsic parameters to optimize during the reconstruction.
Mapper.ba_min_num_residuals_for_multi_threading (default: 50000)
The minimum number of residuals per bundle adjustment problem to enable multi-threading solving of the problems.
Mapper.ba_local_num_images (default: 6)
The number of images to optimize in local bundle adjustment.
Mapper.ba_local_function_tolerance (default: 0)
Ceres solver function tolerance for local bundle adjustment
Mapper.ba_local_max_num_iterations (default: 25)
The maximum number of local bundle adjustment iterations.
Mapper.ba_global_use_pba (default: 0)
Whether to use PBA (Parralel Bundle Adjustment) in global bundle adjustment.
See: https://grail.cs.washington.edu/projects/mcba/, https://github.com/cbalint13/pba
Mapper.ba_global_pba_gpu_index (default: -1)
The GPU index for PBA bundle adjustment.
Mapper.ba_global_images_ratio (default: 1.1)
Mapper.ba_global_points_ratio (default: 1.1)
Mapper.ba_global_images_freq (default: 500)
Mapper.ba_global_points_freq (default: 250000)
The growth rates after which to perform global bundle adjustment.
Mapper.ba_global_function_tolerance (default: 0)
Ceres solver function tolerance for global bundle adjustment
Mapper.ba_global_max_num_iterations (default: 50)
The maximum number of global bundle adjustment iterations.
Mapper.ba_global_max_refinements (default: 5)
Mapper.ba_global_max_refinement_change (default: 0.0005)
Mapper.ba_local_max_refinements (default: 2)
Mapper.ba_local_max_refinement_change (default: 0.001)
The thresholds for iterative bundle adjustment refinements.
Mapper.snapshot_path
Path to a folder with reconstruction snapshots during incremental reconstruction. Snapshots will be saved according to the specified frequency of registered images.
Mapper.snapshot_images_freq (default: 0)\
Mapper.fix_existing_images (default: 0)
If reconstruction is provided as input, fix the existing image poses.
Mapper.init_min_num_inliers (default: 100)
Minimum number of inliers for initial image pair.
Mapper.init_max_error (default: 4)
Maximum error in pixels for two-view geometry estimation for initial image pair.
Mapper.init_max_forward_motion (default: 0.95)
Maximum forward motion for initial image pair.
Mapper.init_min_tri_angle (default: 16)
Minimum triangulation angle for initial image pair.
Mapper.init_max_reg_trials (default: 2)
Maximum number of trials to use an image for initialization.
Mapper.abs_pose_max_error (default: 12)
Maximum reprojection error in absolute pose estimation.
Mapper.abs_pose_min_num_inliers (default: 30)
Minimum number of inliers in absolute pose estimation.
Mapper.abs_pose_min_inlier_ratio (default: 0.25)
Minimum inlier ratio in absolute pose estimation.
Mapper.filter_max_reproj_error (default: 4)
Maximum reprojection error in pixels for observations.
Mapper.filter_min_tri_angle (default: 1.5)
Minimum triangulation angle in degrees for stable 3D points.
Mapper.max_reg_trials (default: 3)
Maximum number of trials to register an image.
Mapper.local_ba_min_tri_angle (default: 6)
Minimum triangulation for images to be chosen in local bundle adjustment.
Mapper.tri_max_transitivity (default: 1)
Maximum transitivity to search for correspondences.
Mapper.tri_create_max_angle_error (default: 2)
Maximum angular error to create new triangulations.
Mapper.tri_continue_max_angle_error (default: 2)
Maximum angular error to continue existing triangulations.
Mapper.tri_merge_max_reproj_error (default: 4)
Maximum reprojection error in pixels to merge triangulations.
Mapper.tri_complete_max_reproj_error (default: 4)
Maximum reprojection error to complete an existing triangulation.
Mapper.tri_complete_max_transitivity (default: 5)
Maximum transitivity for track completion.
Mapper.tri_re_max_angle_error (default: 5)
Maximum angular error to re-triangulate under-reconstructed image pairs.
Mapper.tri_re_min_ratio (default: 0.2)
Minimum ratio of common triangulations between an image pair over the number of correspondences between that image pair to be considered as under-reconstructed.
Mapper.tri_re_max_trials (default: 1)
Maximum number of trials to re-triangulate an image pair.
Mapper.tri_min_angle (default: 1.5)
Minimum pairwise triangulation angle for a stable triangulation. If your images are taken from far distance with respect to the scene, you can try to reduce the minimum triangulation angle
Mapper.tri_ignore_two_view_tracks (default: 1)
Whether to ignore two-view feature tracks in triangulation, resulting in fewer 3D points than possible. Triangulation of two-view tracks can in rare cases improve the stability of sparse image collections by providing additional constraints in bundle adjustment.
colmap image_undistorter: Undistorts images and/or exports them for MVS or to external dense reconstruction software, such as CMVS/PMVS.
Show the list of parameters
blank_pixels (default: 0)
The amount of blank pixels in the undistorted image in the range [0,1].
min_scale (default: 0.2)
Minimum and maximum scale change of camera used to satisfy the blank pixel constraint.
max_scale (default: 2)
Minimum and maximum scale change of camera used to satisfy the blank pixel constraint.
max_image_size (default: -1)
Maximum image size in terms of width or height of the undistorted camera.
roi_min_x (default: 0)
roi_min_y (default: 0)
roi_max_x (default: 1)
roi_max_y (default: 1)
The 4 factors in the range [0,1] that define the ROI (region of interest) in original image. The bounding box pixel coordinates are calculated as (roi_min_x * Width, roi_min_y * Height)
and (roi_max_x * Width, roi_max_y * Height)
.
colmap patch_match_stereo: Dense 3D reconstruction/mapping using MVS after running the image_undistorter to initialize the workspace.
Show the list of parameters
PatchMatchStereo.max_image_size (default: -1)
Maximum image size in either dimension.
PatchMatchStereo.gpu_index (default: -1)
Index of the GPU used for patch match. For multi-GPU usage, you should separate multiple GPU indices by comma, e.g. "0,1,2,3".
See: Multi-GPU support in dense reconstruction
PatchMatchStereo.depth_min (default: -1)
PatchMatchStereo.depth_max (default: -1)
Depth range in which to randomly sample depth hypotheses.
PatchMatchStereo.window_radius (default: 5)
Half window size to compute NCC photo-consistency cost.
Window radius is to measure the size of a patch concerning how many surrounding pixels should contribute to the reconstruction around a focusing pixel.
PatchMatchStereo.window_step (default: 1)
Number of pixels to skip when computing NCC. For a value of 1, every pixel is used to compute the NCC. For larger values, only every n-th row and column is used and the computation speed thereby increases roughly by a factor of window_step^2
. Note that not all combinations of window sizes and steps produce nice results, especially if the step is greather than 2.
PatchMatchStereo.sigma_spatial (default: -1)
PatchMatchStereo.sigma_color (default: 0.2)
Parameters for bilaterally weighted NCC.
PatchMatchStereo.num_samples (default: 15)
Number of random samples to draw in Monte Carlo sampling.
PatchMatchStereo.ncc_sigma (default: 0.6)
Spread of the NCC likelihood function.
PatchMatchStereo.min_triangulation_angle (default: 1)
Minimum triangulation angle in degrees.
PatchMatchStereo.incident_angle_sigma (default: 0.9)
Spread of the incident angle likelihood function.
PatchMatchStereo.num_iterations (default: 5)
Number of coordinate descent iterations. Each iteration consists of four sweeps from left to right, top to bottom, and vice versa
PatchMatchStereo.geom_consistency (default: 1)
Whether to add a regularized geometric consistency term to the cost function. If true, the depth_maps
and normal_maps
must not be null.
PatchMatchStereo.geom_consistency_regularizer (default: 0.3)
The relative weight of the geometric consistency term w.r.t. to the photo-consistency term.
PatchMatchStereo.geom_consistency_max_cost (default: 3)
Maximum geometric consistency cost in terms of the forward-backward reprojection error in pixels.
PatchMatchStereo.filter (default: 1)
Whether to enable filtering.
PatchMatchStereo.filter_min_ncc (default: 0.1)
Minimum NCC coefficient for pixel to be photo-consistent.
PatchMatchStereo.filter_min_triangulation_angle (default: 3)
Minimum triangulation angle to be stable.
PatchMatchStereo.filter_min_num_consistent (default: 2)
Minimum number of source images have to be consistent for pixel not to be filtered.
PatchMatchStereo.filter_geom_consistency_max_cost (default: 1)
Maximum forward-backward reprojection error for pixel to be geometrically consistent.
PatchMatchStereo.cache_size (default: 32)
Cache size in gigabytes for patch match, which keeps the bitmaps, depth maps, and normal maps of this number of images in memory. A higher value leads to less disk access and faster computation, while a lower value leads to reduced memory usage. Note that a single image can consume a lot of memory, if the consistency graph is dense.
PatchMatchStereo.allow_missing_files (default: 0)
Whether to tolerate missing images/maps in the problem setup.
PatchMatchStereo.write_consistency_graph (default: 0)
Whether to write the consistency graph.
colmap stereo_fusion: Fusion of patch_match_stereo
results into to a colored point cloud.
Show the list of parameters
StereoFusion.mask_path
Path for PNG masks. Same format expected as ImageReaderOptions
.
StereoFusion.num_threads (default: -1)
The number of threads to use during fusion.
StereoFusion.max_image_size (default: -1)
Maximum image size in either dimension.
StereoFusion.min_num_pixels (default: 5)
Minimum number of fused pixels to produce a point.
StereoFusion.max_num_pixels (default: 10000)
Maximum number of pixels to fuse into a single point.
StereoFusion.max_traversal_depth (default: 100)
Maximum depth in consistency graph traversal.
StereoFusion.max_reproj_error (default: 2)
Maximum relative difference between measured and projected pixel.
StereoFusion.max_depth_error (default: 0.01)\
StereoFusion.max_normal_error (default: 10)
Maximum angular difference in degrees of normals of pixels to be fused.
StereoFusion.check_num_images (default: 50)
Number of overlapping images to transitively check for fusing points.
StereoFusion.cache_size (default: 32)
Cache size in gigabytes for fusion. The fusion keeps the bitmaps, depth maps, normal maps, and consistency graphs of this number of images in memory. A higher value leads to less disk access and faster fusion, while a lower value leads to reduced memory usage. Note that a single image can consume a lot of memory, if the consistency graph is dense.
StereoFusion.use_cache (default: 0)
Flag indicating whether to use LRU cache or pre-load all data
colmap delaunay_mesher: Meshing of the reconstructed sparse or dense point cloud using a graph cut on the Delaunay triangulation and visibility voting.
Show the list of parameters
DelaunayMeshing.max_proj_dist (default: 20)
Unify input points into one cell in the Delaunay triangulation that fall within a reprojected radius of the given pixels.
DelaunayMeshing.max_depth_dist (default: 0.05)
Maximum relative depth difference between input point and a vertex of an existing cell in the Delaunay triangulation, otherwise a new vertex is created in the triangulation.
DelaunayMeshing.visibility_sigma (default: 3)
The standard deviation of wrt. the number of images seen by each point. Increasing this value decreases the influence of points seen in few images.
DelaunayMeshing.distance_sigma_factor (default: 1)
The factor that is applied to the computed distance sigma, which is automatically computed as the 25th percentile of edge lengths. A higher value will increase the smoothness of the surface.
DelaunayMeshing.quality_regularization (default: 1)
A higher quality regularization leads to a smoother surface.
DelaunayMeshing.max_side_length_factor (default: 25)
DelaunayMeshing.max_side_length_percentile (default: 95)
Filtering thresholds for outlier surface mesh faces. If the longest side of a mesh face (longest out of 3) exceeds the side lengths of all faces at a certain percentile by the given factor, then it is considered an outlier mesh face and discarded.
DelaunayMeshing.num_threads (default: -1)
The number of threads to use for reconstruction. Default is all threads
colmap poisson_mesher: Meshing of the fused point cloud using Poisson surface reconstruction.
Show the list of parameters
PoissonMeshing.point_weight (default: 1)
This floating point value specifies the importance that interpolation of the point samples is given in the formulation of the screened Poisson equation. The results of the original (unscreened) Poisson Reconstruction can be obtained by setting this value to 0.
PoissonMeshing.depth (default: 13)
This integer is the maximum depth of the tree that will be used for surface reconstruction. Running at depth d corresponds to solving on a voxel grid whose resolution is no larger than 2^d x 2^d x 2^d
. Note that since the reconstructor adapts the octree to the sampling density, the specified reconstruction depth is only an upper bound.
PoissonMeshing.color (default: 32)
If specified, the reconstruction code assumes that the input is equipped with colors and will extrapolate the color values to the vertices of the reconstructed mesh. The floating point value specifies the relative importance of finer color estimates over lower ones.
PoissonMeshing.trim (default: 10)
This floating point values specifies the value for mesh trimming. The subset of the mesh with signal value less than the trim value is discarded.
PoissonMeshing.num_threads (default: -1)
The number of threads used for the Poisson reconstruction.
colmap bundle_adjuster: Run global bundle adjustment on a reconstructed scene, e.g., when a refinement of the intrinsics is needed or after running the image_registrator
.
Show the list of parameters
BundleAdjustment.refine_focal_length (default: 1)
BundleAdjustment.refine_principal_point (default: 0)
BundleAdjustment.refine_extra_params (default: 1)
Whether to optimize intrinsic parameters.
BundleAdjustment.refine_extrinsics (default: 1)
Whether to optimize extrinsic parameters.
Ceres related settings
Solver::Options
controls the overall behavior of the solver.
See: Solving Non-linear Least Squares
BundleAdjustment.max_num_iterations (default: 100)
See: Solver::Options::max_num_iterations
BundleAdjustment.max_linear_solver_iterations (default: 200)
See: Solver::Options::max_linear_solver_iterations
BundleAdjustment.function_tolerance (default: 0)
See: Solver::Options::function_tolerance
BundleAdjustment.gradient_tolerance (default: 0)
See: Solver::Options::gradient_tolerance
BundleAdjustment.parameter_tolerance (default: 0)
See: Solver::Options::parameter_tolerance