The parametric equation of space surface is like this ： Two 、 Surface parameter equationįor the surface coordinates of points, In some materials, It also gives (u,v,w） Let's compare it to the European coordinate system we've been immersed in for many years (x,y,z), This is actually misleading, Because of the u、v It's actually two parameters from the parametric equation, How come w Well ? īut we are used to Euclidean space, Used to working in Cartesian three-dimensional coordinates （xyz） The way to represent space points, We generally consult a lot of materials and tutorials, There will still be some problems in front of us ：ġ、 Why can I use (u,v) Two coordinate values to represent the position of points on the spatial surface ?Ģ、 On a curved surface UV How lines are formed ?ģ、 use UV What's the point of coordinates ?Īlthough it seems to require a deep foundation in Mathematics, But let me make it as easy as possible to give you a simple explanation UV coordinate. įor a specific surface, It can pass through the U、V Coordinate values to specify a certain point on the surface. So this article is “3D Polar coordinate modeling ” Principles of use, Let's start with UV The coordinates start to bring problems, To get down to earth on the road of modeling. Īlthough mathematics has its own elegance, Can deduce 、 Few people construct each step, But we just understand the logic, With the help of some mature auxiliary platforms and tools, Has been able to bring abstract theory into reality, Complete our surface modeling requirements. “ Automatically ”、“ intelligence ” 了, Unable and nowhere to start.
T SPLINES RHINO 5 百度云 SOFTWARE
Let's have a clear understanding of mathematical principles, Directly operate the modeling software of each major platform for practical operation, But I found that the modeling was successful with one click of the preset template, But I want to modify the shape I need, In the face of complexity 、 strange 、 Huge parameter adjustment and even creation, Not so much software But when I really started, I quickly gave up, We will find that in surface modeling “ introduction ” On, Mathematical concepts that we haven't come into contact with one after another attack our brains “ Riemann geometry ”、“ Non European controls ”、“ Differential geometry ”、“ Splines ”… Beat us to flee. But in practice, Most of us are not professionals in this field, Are found in various application software or project requirements UV Coordinates of this new field, Maybe we've all tried to search a simple one through Baidu “ Novice 0 Basics uv Coordinate surface modeling 5 Minute hands on tutorial ” Things that are, Or search and study the data of light and intensity to understand. One 、 Surface modelingģD The essence of polar coordinate modeling is surface modeling, In the field of surface modeling, hypergraph iDesktop It is also unavoidable UV Coordinate. ģD Polar coordinate modeling function is realized according to UV Parameters and mathematical expressions, Construction includes sphere 、 Paraboloid 、 Hyperbolic paraboloid 、 cylinder 、 Conical surface 、 Mobius torus 、 Helicoid 、 Spiral torus and Roman Surfaces, etc 3D Surface model. V10.2.1 Online release of, In order to further expand the whole space data model and its analysis and calculation ability, A new feature “3D Polar coordinate modeling ” With this version quietly launched. Author ： Technical support center of hypergraph Research Institute - Yu Ding
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