#!/usr/bin/env python # # mesh.py - The TriangleMesh class. # # Author: Paul McCarthy <pauldmccarthy@gmail.com> # """This module provides the :class:`TriangleMesh` class, which represents a 3D model made of triangles. .. note:: I/O support is very limited - currently, the only supported file type is the VTK legacy file format, containing the ``POLYDATA`` dataset. the :class:`TriangleMesh` class assumes that every polygon defined in an input file is a triangle (i.e. refers to three vertices). See http://www.vtk.org/wp-content/uploads/2015/04/file-formats.pdf for an overview of the VTK legacy file format. In the future, I may or may not add support for more complex meshes. """ import logging import os.path as op import numpy as np import six from . import image as fslimage log = logging.getLogger(__name__) class TriangleMesh(object): """The ``TriangleMesh`` class represents a 3D model. A mesh is defined by a collection of vertices and indices. The indices index into the list of vertices, and define a set of triangles which make the model. A ``TriangleMesh`` instance has the following attributes: ============== ==================================================== ``name`` A name, typically the file name sans-suffix. ``dataSource`` Full path to the mesh file (or ``None`` if there is no file associated with this mesh). ``vertices`` A :math:`N\times 3` ``numpy`` array containing the vertices. ``indices`` A :meth:`M\times 3` ``numpy`` array containing the vertex indices for :math:`M` triangles ============== ==================================================== And the following methods: .. autosummary:: :nosignatures: getBounds loadVertexData getVertexData clearVertexData """ def __init__(self, data, indices=None): """Create a ``TriangleMesh`` instance. :arg data: Can either be a file name, or a :math:`N\\times 3` ``numpy`` array containing vertex data. If ``data`` is a file name, it is passed to the :func:`loadVTKPolydataFile` function. :arg indices: A list of indices into the vertex data, defining the triangles. """ if isinstance(data, six.string_types): infile = data data, lengths, indices = loadVTKPolydataFile(infile) if np.any(lengths != 3): raise RuntimeError('All polygons in VTK file must be ' 'triangles ({})'.format(infile)) self.name = op.basename(infile) self.dataSource = infile else: self.name = 'TriangleMesh' self.dataSource = None if indices is None: indices = np.arange(data.shape[0]) self.vertices = np.array(data) self.indices = np.array(indices).reshape((-1, 3)) self.__vertexData = {} self.__loBounds = self.vertices.min(axis=0) self.__hiBounds = self.vertices.max(axis=0) def __repr__(self): """Returns a string representation of this ``TriangleMesh`` instance. """ return '{}({}, {})'.format(type(self).__name__, self.name, self.dataSource) def __str__(self): """Returns a string representation of this ``TriangleMesh`` instance. """ return self.__repr__() def getBounds(self): """Returns a tuple of values which define a minimal bounding box that will contain all vertices in this ``TriangleMesh`` instance. The bounding box is arranged like so: ``((xlow, ylow, zlow), (xhigh, yhigh, zhigh))`` """ return (self.__loBounds, self.__hiBounds) def loadVertexData(self, dataSource, vertexData=None): """Attempts to load scalar data associated with each vertex of this ``TriangleMesh`` from the given ``dataSource``. The data is returned, and also stored in an internal cache so it can be retrieved later via the :meth:`getVertexData` method. This method may be overridden by sub-classes. :arg dataSource: Path to the vertex data to load :arg vertexData: The vertex data itself, if it has already been loaded. :returns: A ``(M, N)``) array, which contains ``N`` data points for ``M`` vertices. """ nvertices = self.vertices.shape[0] # Currently only white-space delimited # text files are supported if vertexData is None: vertexData = np.loadtxt(dataSource) vertexData.reshape(nvertices, -1) if vertexData.shape[0] != nvertices: raise ValueError('Incompatible size: {}'.format(dataSource)) self.__vertexData[dataSource] = vertexData return vertexData def getVertexData(self, dataSource): """Returns the vertex data for the given ``dataSource`` from the internal vertex data cache. If the given ``dataSource`` is not in the cache, it is loaded via :meth:`loadVertexData`. """ try: return self.__vertexData[dataSource] except KeyError: return self.loadVertexData(dataSource) def clearVertexData(self): """Clears the internal vertex data cache - see the :meth:`loadVertexData` and :meth:`getVertexData` methods. """ self.__vertexData = {} ALLOWED_EXTENSIONS = ['.vtk'] """A list of file extensions which could contain :class:`TriangleMesh` data. """ EXTENSION_DESCRIPTIONS = ['VTK polygon model file'] """A description for each of the extensions in :data:`ALLOWED_EXTENSIONS`.""" def loadVTKPolydataFile(infile): """Loads a vtk legacy file containing a ``POLYDATA`` data set. :arg infile: Name of a file to load from. :returns: a tuple containing three values: - A :math:`N\\times 3` ``numpy`` array containing :math:`N` vertices. - A 1D ``numpy`` array containing the lengths of each polygon. - A 1D ``numpy`` array containing the vertex indices for all polygons. """ lines = None with open(infile, 'rt') as f: lines = f.readlines() lines = [l.strip() for l in lines] if lines[3] != 'DATASET POLYDATA': raise ValueError('Only the POLYDATA data type is supported') nVertices = int(lines[4].split()[1]) nPolygons = int(lines[5 + nVertices].split()[1]) nIndices = int(lines[5 + nVertices].split()[2]) - nPolygons vertices = np.zeros((nVertices, 3), dtype=np.float32) polygonLengths = np.zeros( nPolygons, dtype=np.uint32) indices = np.zeros( nIndices, dtype=np.uint32) for i in range(nVertices): vertLine = lines[i + 5] vertices[i, :] = map(float, vertLine.split()) vertices[i, :] = [float(w) for w in vertLine.split()] indexOffset = 0 for i in range(nPolygons): polyLine = lines[6 + nVertices + i].split() polygonLengths[i] = int(polyLine[0]) start = indexOffset end = indexOffset + polygonLengths[i] indices[start:end] = map(int, polyLine[1:]) indices[start:end] = [int(w) for w in polyLine[1:]] indexOffset += polygonLengths[i] return vertices, polygonLengths, indices def getFIRSTPrefix(modelfile): """If the given ``vtk`` file was generated by `FIRST <https://fsl.fmrib.ox.ac.uk/fsl/fslwiki/FIRST>`_, this function will return the file prefix. Otherwise a ``ValueError`` will be raised. """ if not modelfile.endswith('first.vtk'): raise ValueError('Not a first vtk file: {}'.format(modelfile)) modelfile = op.basename(modelfile) prefix = modelfile.split('-') prefix = '-'.join(prefix[:-1]) return prefix def findReferenceImage(modelfile): """Given a ``vtk`` file, attempts to find a corresponding ``NIFTI`` image file. Return the path to the image, or ``None`` if no image was found. Currently this function will only return an image for ``vtk`` files generated by `FIRST <https://fsl.fmrib.ox.ac.uk/fsl/fslwiki/FIRST>`_. """ try: dirname = op.dirname(modelfile) prefixes = [getFIRSTPrefix(modelfile)] except: return None if prefixes[0].endswith('_first'): prefixes.append(prefixes[0][:-6]) for p in prefixes: try: return fslimage.addExt(op.join(dirname, p), mustExist=True) except: continue return None