Keywords: Geometric modeling, Three-dimensional objects, Virtual environments,
Algorithms, Geometric representation, Wireframe modeling, Surface modeling, Volume
modeling, Tessellation, Interpolation, Approximation, Boolean operations, Deformation,
Morphing, Sculpting software.
INTRODUCTION
Virtual environments have revolutionized various industries, from entertainment
and gaming to architecture and engineering. These environments allow users to immerse
themselves in simulated 3D worlds, interacting with objects and experiencing virtual
scenarios. Behind the scenes, a crucial component in the creation and manipulation of
these three-dimensional (3D) objects is geometric modeling. Geometric modeling
involves the representation, manipulation, and rendering of objects in virtual
environments, enabling realistic and interactive experiences. In geometric modeling,
methods and algorithms are employed to capture the shape, structure, and appearance
of 3D objects. These techniques play a vital role in virtual reality (VR), computer-aided
design (CAD), scientific simulations, and other related domains. By understanding the
underlying principles and techniques involved in geometric modeling, developers and
researchers can enhance their ability to create compelling and visually accurate virtual
worlds. Geometric representation techniques serve as the foundation for geometric
modeling. Wireframe modeling, for instance, captures the overall shape and structure of
objects using lines and curves. Surface modeling techniques focus on defining the
external appearance of objects, while volume modeling deals with representing objects as
solid entities, providing information about their interior properties.
INNOVATIVE DEVELOPMENTS AND RESEARCH IN EDUCATION
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