A new parametric control method for freeform mesh models

Abstract

Parametric modeling technology is difficult to apply to freeform mesh models since there is no efficient way to impose geometric constraints. In this paper, we propose a novel method to control freeform mesh models parametrically. Our approach is to construct a control mesh that surrounds an object model and then impose constraints on it. The control mesh is parametrically controlled and the shape of the object model is modified by using an existing freeform deformation method.This paper is mainly concerned with automated construction of a control mesh and treatment of geometric constraints. Procedures for creating a control mesh are as follows: 1) determine the optimal orientation of the model, 2) project the model along three axes and extract contours, 3) create 2D control polygons for the contours, and 4) construct the 3D control mesh from the 2D control polygons. Geometric constraints are imposed on the edges and faces of a control mesh. Types of constraints are given by either a relative relationship between elements or an absolute displacement. A new control mesh is calculated by solving these constraints and the original model is modified accordingly. We tested our algorithms for two freeform models.

Spin-isolated ultraviolet-visible dynamic meta-holographic displays with liquid crystal modulators

“…Such metasurfaces incorporating multiple pieces of holographic information with polarization-dependent responses can be integrated with AR technology and have promising applications in optical security encryption, anti-counterfeiting, UV nano-photonics, advertisements, the media industry, and specifically in the healthcare sector. 15,17…”

“…[10][11][12][13][14] Consequently, on-chip realization of such metasurfaces can provide wearable or head-mounted displays (HMDs) for promising applications in augmented reality (AR) and virtual reality (VR). [15][16][17][18] Moreover, such displays have promising applications in healthcare for bio-imaging, the advertisement industry, data encryption, etc. In the last decade, metasurfaces have garnered considerable attention for targeting versatile functionalities like vortex beam generation, [19][20][21] lenses, 21 novel light structuring, [22][23][24][25][26][27][28][29][30] and color filters.…”

Integration of Additive Manufacturing, Parametric Design, and Optimization of Parts Obtained by Fused Deposition Modeling (FDM). A Methodological Approach

“…The workflow defined through the parametric model of the proposed methodology generates different design solutions without the need to develop new models [ 96 ]. This approach is of interest when avoiding the interruption of the workflow of the methodology between the mesh result of the topology optimization and the required parametric design for the further optimizations [ 97 , 98 ]. In this way it is possible to introduce variations in the solution obtained by altering the values of a certain variable without the need to redefine the three-dimensional model.…”

Parametric modeling of 3D human faces using anthropometric data

“…Park & Lee [1] proposed a method for parametrically controlling the car body shape described in free-form geometry. Geometric constraints are imposed on the mesh points, and these constraints must be satisfied during shape deformation.…”