International Business Machines Corporation

New York University

Denis Zorin

Fausto Bernardini

Ioana Boier-Martin

Ioana Maria Martin

Henning Biermann

Qingnan Zhou

Julian Panetta

A system and methods for weak spot analysis. A mesh shape is preprocessed to approximate an input model for an object. The mesh shape is analyzed with modal analysis to identify weak regions. A method and system for determining weak spots in an object. The method and system uses an optimization problem which is solved to determine a pressure distribution on the object maximizing maximal principal stress by solving a set of optimization problems maximizing stress for each point of the object.

Structural weak spot analysis

A system, method, and program product for re-parameterizing one or more three-dimensional Catmull-Clark models is disclosed. Each of the models has one or more surfaces and one or more extraordinary vertices. One or more adjacent iso-parameter lines of the model have a spacing between them that increases as the iso-parameter lines approach the extraordinary vertex. A re-parameterization process that re-parameterizes the model so that one or more of the extraordinary vertices have adjacent iso-parameter lines with spacing that does not increase as the lines approach the extraordinary vertex.

System, method, and program product for re-parameterizing three dimensional models represented as catmull-clark subdivision surfaces

System, method, and program product for re-parameterizing three dimensional models represented as Catmull-Clark subdivision surfaces

In this invention there are described a set of algorithms based on multiresolution subdivision surfaces that perform at interactive rates and enable intuitive surface cut-and-paste operations. The method includes separating a source region of interest of a source surface into a source base surface and a source detail surface; separating a target region of interest of a target surface into a target base surface and a target detail surface; and pasting the source detail surface onto the target base surface in accordance with a mapping. The step of pasting includes parameterizing and mapping the parameterized regions of interest of the source and target surfaces into an intermediate plane, and aligning the parameterizations using a linear transformation that compensates for first order distortions.

Methods and apparatus for cut-and-paste editing of multiresolution surfaces

A method for representing a sharp feature on a surface of a model comprises the steps of defining at least one feature curve on the surface; reparameterizing the surface; and creating the feature on the reparameterized surface so as to be generally coincident with the feature curve, where the feature lies along boundaries between piecewise-smooth patch surfaces where patch surfaces with distinct tangent planes are joined. The surface is reparameterized by moving a control mesh relative to the surface to sample the feature curve with vertices of the control mesh, and creating the feature includes a subdivision step where edges and diagonals are treated as creases in the control mesh, and piecewise-smooth subdivision rules are applied to obtain a sharp feature on the surface. The surface may be defined in a Catmull-Clark multiresolution subdivision surface representation.

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New York, NY, United States of America

Denis Zorin