In this work, a new method for mesh simpliication and surface reconstruction speciically designed for the needs of CAD/CAM engineering design and analysis is introduced. The method simpliies the original free-form face model by rst constructing restricted curvature deviation regions, generating a boundary conforming nite element quadrilateral mesh of the regions, and then tting a smooth surface...

Inspection of reflection line patterns is a standard way to check the quality of free form surfaces. In this paper, we describe an approach which enables the designer to control during the modeling process the reflection line pattern by approximating a specified family of reflection lines. Our method directly operates on the commonly used B-spline format, and produces fair surfaces. The approac...

Recent research has demonstrated the effectiveness of complex skeletal primitives such as subdivision curves and surfaces in implicit surface modeling. This paper presents a hierarchichal modeling system with an automatic levels of detail management for a simpler modeling with an accelerated rendering. We manage levels of detail with smooth transitions and tree optimizations speeding up visuali...

This paper proposes a novel method for shape design of a Bézier surface with given boundary curves. The surface is defined as the minimizer of an extended membrane functional or an extended thin plate functional under the guidance of a specified normal field together with an initial prescribed surface. For given boundary curves and the guiding normal field, the free coefficients of a Bézier sur...

A technique is presented for generating implicit sweep objects that support direct specification and manipulation of the surface with no topological limitations on the 2D sweep template. The novelty of this method is that the underlying scalar field is bounded and C continuous, apart from surface creases. Bounded scalar fields guarantee local influence when modeling with implicit surfaces, an i...