Computational geometry: an introduction
Computational geometry: an introduction
From contours to surfaces: testbed and initial results
CHI '87 Proceedings of the SIGCHI/GI Conference on Human Factors in Computing Systems and Graphics Interface
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Shape reconstruction from planar cross sections
Computer Vision, Graphics, and Image Processing
Pessimal Guesses may be Optimal: A Counterintuitive Search Result
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Bayesian Approach to Reconstruction from Incomplete Projections of a Multiple Object 3D Domain
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
A triangulation algorithm from arbitrary shaped multiple planar contours
ACM Transactions on Graphics (TOG)
Geometrically deformed models: a method for extracting closed geometric models form volume data
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Triangulation and shape-complexity
ACM Transactions on Graphics (TOG)
Triangulating Simple Polygons and Equivalent Problems
ACM Transactions on Graphics (TOG)
Optimal surface reconstruction from planar contours
Communications of the ACM
A new general triangulation method for planar contours
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Conversion of complex contour line definitions into polygonal element mosaics
SIGGRAPH '78 Proceedings of the 5th annual conference on Computer graphics and interactive techniques
NC milling error assessment and tool path correction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
History consideration in reconstructing polyhedral surfaces from parallel slices
Proceedings of the 7th conference on Visualization '96
Multiresolution banded refinement to accelerate surface reconstruction from polygons
Proceedings of the fourteenth annual symposium on Computational geometry
Contour interpolation and surface reconstruction of smooth terrain models
Proceedings of the conference on Visualization '98
Scanline surfacing: building separating surfaces from planar contours
Proceedings of the conference on Visualization '00
Extending Neural Networks for B-Spline Surface Reconstruction
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Reconstruction and Simplification of Surfaces from Contours
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Tensor Product Surfaces Guided by Minimal Surface Area Triangulations
VIS '95 Proceedings of the 6th conference on Visualization '95
Contour Model Guided Image Warping for Medical Image Interpolation
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Cloud tracing in convection-diffusion systems
VIS '93 Proceedings of the 4th conference on Visualization '93
3D visualization of unsteady 2D airplane wake vortices
VIS '94 Proceedings of the conference on Visualization '94
Functional networks for B-spline surface reconstruction
Future Generation Computer Systems - Special issue: Computer graphics and geometric modeling
Beta-connection: Generating a family of models from planar cross sections
ACM Transactions on Graphics (TOG)
Constructing smooth branching surfaces from cross sections
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Integrating cross-sectional imaging based reverse engineering with rapid prototyping
Computers in Industry
A reliable surface reconstruction system in biomedicine
Computer Methods and Programs in Biomedicine
Surface Rendering for Parallel Slices of Contours from Medical Imaging
Computing in Science and Engineering
G1-smooth branching surface construction from cross sections
Computer-Aided Design
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Reconstruction of Branching Surface and Its Smoothness by Reversible Catmull-Clark Subdivision
ICCS 2009 Proceedings of the 9th International Conference on Computational Science
Animated solid model of the lung constructed from unsynchronized MR sequential images
Computer-Aided Design
Design automation for customized apparel products
Computer-Aided Design
Integrating cross-sectional imaging based reverse engineering with rapid prototyping
Computers in Industry
Functional networks for B-spline surface reconstruction
Future Generation Computer Systems
Surface reconstruction by moving contours
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Reconstruction of multi-label domains from partial planar cross-sections
SGP '09 Proceedings of the Symposium on Geometry Processing
Generation of myocardial wall surface meshes from Segmented MRI
Journal of Biomedical Imaging
WSEAS Transactions on Signal Processing
Cultural Heritage: Symmetry and template guided completion of damaged skulls
Computers and Graphics
Online reconstruction of 3D objects from arbitrary cross-sections
ACM Transactions on Graphics (TOG)
Information Sciences: an International Journal
Reconstruction of human anatomical models from segmented contour lines
CIS'04 Proceedings of the First international conference on Computational and Information Science
A 3d model acquisition system based on a sequence of projected level curves
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Extracting surface representations from rim curves
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
A virtual reality training system for robot assisted neurosurgery
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Fast reconstruction of 3d terrain model from contour lines on 2d maps
AsiaSim'04 Proceedings of the Third Asian simulation conference on Systems Modeling and Simulation: theory and applications
Visualization of tooth for 3-d simulation
AsiaSim'04 Proceedings of the Third Asian simulation conference on Systems Modeling and Simulation: theory and applications
Contour-Based terrain model reconstruction using distance information
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Multiresolution reconstruction of pipe-shaped objects from contours
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
Information Sciences: an International Journal
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
On generating realistic avatars: dress in your own style
Multimedia Tools and Applications
DEM interpolation from contours using medial axis transformation
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part I
Non-manifold mesh extraction from time-varying segmented volumes used for modeling a human heart
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Visualization of labeled segments cross-contour surfaces
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
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This paper is concerned with the problem of reconstructing the surfaces of three-dimensional objects, given a collection of planar contours representing cross-sections through the objects. This problem has important aplications in biomedical research and instruction, solid modeling, and industrial inspection.The method we describe produces a triangulated mesh from the data points of the contours which is then used in conjunction with a piecewise parametric surface-fitting algorithm to produce a reconstructed surface.The problem can be broken into four subproblems: the correspondence problem (which contours should be connected by the surface?), the tiling problem (how should the contours be connected?), the branching problem (what do we do when there are branches in the surface?), and the surface-fitting problem (what is the precise geometry of the reconstructed surface?) We describe our system for surface reconstruction from sets of contours with respect to each of these subproblems. Special attention is given to the correspondence and branching problems. We present a method that can handle sets of contours in which adjacent contours share a very contorted boundary, and we describe a new approach to solving the correspondence problem using a Minimum Spanning Tree generated from the contours.