Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
Real-time GPU rendering of piecewise algebraic surfaces
ACM SIGGRAPH 2006 Papers
Image enhancement by unsharp masking the depth buffer
ACM SIGGRAPH 2006 Papers
Fast approximations for global illumination on dynamic scenes
ACM SIGGRAPH 2006 Courses
FiberMesh: designing freeform surfaces with 3D curves
ACM SIGGRAPH 2007 papers
3D unsharp masking for scene coherent enhancement
ACM SIGGRAPH 2008 papers
Technical Section: WarpCurves: A tool for explicit manipulation of implicit surfaces
Computers and Graphics
Piecewise algebraic surface patches
Computer Aided Geometric Design
SMI 2012: Full A runtime cache for interactive procedural modeling
Computers and Graphics
Real-time isosurface rendering of smooth fields
Journal of Visualization
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Modeling appealing virtual scenes is an elaborate and time-consuming task, requiring not only training and experience, but also powerful modeling tools providing the desired functionality to the user. In this paper, we describe a modeling approach using signed distance functions as an underlying representation for objects, handling both conventional and complex surface manipulations. Scenes defined by signed distance functions can be stored compactly and rendered directly in real-time using sphere tracing. Hence, we are capable of providing an interactive application with immediate visual feedback for the artist, which is a crucial factor for the modeling process. Moreover, dealing with underlying mathematical operations is not necessary on the user level. We show that fundamental aspects of traditional modeling can be directly transferred to this novel kind of environment, resulting in an intuitive application behavior, and describe modeling operations which naturally benefit from implicit representations. We show modeling examples where signed distance functions are superior to explicit representations, but discuss the limitations of this approach as well.