کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
439488 690783 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Multi-scale space-variant FRep cellular structures
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Multi-scale space-variant FRep cellular structures
چکیده انگلیسی

Existing mesh and voxel based modeling methods encounter difficulties when dealing with objects containing cellular structures on several scale levels and varying their parameters in space. We describe an alternative approach based on using real functions evaluated procedurally at any given point. This allows for modeling fully parameterized, nested and multi-scale cellular structures with dynamic variations in geometric and cellular properties. The geometry of a base unit cell is defined using Function Representation (FRep) based primitives and operations. The unit cell is then replicated in space using periodic space mappings such as sawtooth and triangle waves. While being replicated, the unit cell can vary its geometry and topology due to the use of dynamic parameterization. We illustrate this approach by several examples of microstructure generation within a given volume or along a given surface. We also outline some methods for direct rendering and fabrication not involving auxiliary mesh and voxel representations.


► Several methods of generating spatial variations in microstructures are presented.
► Parameterization includes distance-based methods, metamorphosis and transfinite interpolation.
► Recursive replication is presented for multi-scale objects.
► Applications of the proposed methods include volumetric and surficial structures.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer-Aided Design - Volume 45, Issue 1, January 2013, Pages 26–34
نویسندگان
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