A solid modelling system free from topological inconsistency
Journal of Information Processing
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Algorithmic aspects of alternating sum of volumes. Part 2: Nonvergence and its remedy
Computer-Aided Design
Separation for boundary to CSG conversion
ACM Transactions on Graphics (TOG)
Real functions for representation of rigid solids
Computer Aided Geometric Design
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Convex Decomposition of Simple Polygons
ACM Transactions on Graphics (TOG)
An efficient algorithm for finding the CSG representation of a simple polygon
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Function Representation for Sweeping by a Moving Solid
IEEE Transactions on Visualization and Computer Graphics
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
On visible surface generation by a priori tree structures
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Heterogeneous material modeling with distance fields
Computer Aided Geometric Design
Approximate distance fields with non-vanishing gradients
Graphical Models
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Graphical Models - Special issue on SMI 2004
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
SGP '09 Proceedings of the Symposium on Geometry Processing
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The problem considered in this work is to find a dimension independent algorithm for the generation of signed scalar fields exactly representing polygonal objects and satisfying the following requirements: the defining real function takes zero value exactly at the polygonal object boundary; no extra zero-value isosurfaces should be generated; C^1 continuity of the function in the entire domain. The proposed algorithms are based on the binary space partitioning (BSP) of the object by the planes passing through the polygonal faces and are independent of the object genus, the number of disjoint components, and holes in the initial polygonal mesh. Several extensions to the basic algorithm are proposed to satisfy the selected optimization criteria. The generated BSP-fields allow for applying techniques of the function-based modeling to already existing legacy objects from CAD and computer animation areas, which is illustrated by several examples.