Modeling Clouds Shape

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1 Modeling Clouds Shape Modeling Clouds Shape Antoine Bouthors Fabrice Neyret Laboratoire GRAVIR Grenoble, France Eurographics 2004 Short Presentations Page 1

2 1 Introduction Target: well contrasted clouds (i.e., cumulus clouds) Existing CG models: Adapted for other types of clouds Not yet realistic enough in real-time for cumulus Long term goal : realistic, animated, real-time For now: cloud shape Eurographics 2004 Short Presentations Page 2

3 Modeling Clouds Shape 1.1 Case study: Cumulus shape caracteristics Multiscale set of stacked bubbles Very dense core Low density only in a thin cloud/air interface Flat bottom Eurographics 2004 Short Presentations Page 3

4 1.1 Case study: Cumulus visual caracteristics Core highly reflective More scattering than reflection in the corolla Eurographics 2004 Short Presentations Page 4

5 1.1 Case study: our hypothesis The surface plays the main role in lighting Clear silhouette Well identified quasi-surface, which is: Multiscale Having much geometric details Eurographics 2004 Short Presentations Page 5

6 1.2 Previous work Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 6

7 1.2 Previous work [Kajiya et al., 1984] Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 7

8 1.2 Previous work [Harris et al., 2003] Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 8

9 1.2 Previous work [Ebert et al., 1997] Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 9

10 1.2 Previous work [Nishita et al., 1996] Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 10

11 1.2 Previous work [Gardner, 1985] Shape representation Shape generation Rendering method Rendering speed Volume Simulation Volume rendering Real-time Surface Procedural Slicing Fast Implicit Impostors Slow From real data Mesh ray-tracing Eurographics 2004 Short Presentations Page 11

12 1.3 Our approach Surface like in [Gardner, 1985] Implicit like in [Nishita, 1996] Hierarchical High level of detail Eurographics 2004 Short Presentations Page 12

13 Plan 1 Introdution 2 Our method 3 Rendering 4 Results 5 Conclusion Eurographics 2004 Short Presentations Page 13

14 2 Our method The user defines a root level S 0 S 0 Blobs P 1 i are created on S0 Surfaces S 1 i of these blobs define S1 S 1 Blobs P 2 i are created on S1 And so on... S 2 Eurographics 2004 Short Presentations Page 14

15 2.1 Our representation Level l: set of blobs (position P l i, radius rl i ) Surface S l i of blob Pl i : implicit function f l i(p) Level surface S l = i Sl i of this level Eurographics 2004 Short Presentations Page 15

16 2.1 Our representation Level l: set of blobs (position P l i, radius rl i ) Surface S l i of blob Pl i : implicit function f l i(p) 2.2 Level surface S l = i Sl i of this level Eurographics 2004 Short Presentations Page 16

17 2.1 Our representation Level l: set of blobs (position P l i, radius rl i ) Surface S l i of blob Pl i : implicit function f l i(p) Level surface S l = i Sl i of this level 2.3 Eurographics 2004 Short Presentations Page 17

18 2.1 Our representation Level l: set of blobs (position P l i, radius rl i ) 2.4 Surface S l i of blob P ol i : implicit function f l i(p) Level surface S l = i Sl i of this level Eurographics 2004 Short Presentations Page 18

19 2.2 Defining the blob surface (i.e., f l i(p)) Base: spherical shape Ptotential f l i(p) Altered to match our observations Eurographics 2004 Short Presentations Page 19

20 Base: spherical shape Random flattening term Mutual repulsion: contact surface inspired from [Gascuel et al. 93] The blob enlarges near its base (i.e., near S l 1 ) S l i does not go below a given height Eurographics 2004 Short Presentations Page 20

21 2.3 Defining the level surface f l (P) = max f l 1 (P), max i fi(p) l S l is the union of the Si l s and Sl 1 The cloud surface is the surface of the last level Eurographics 2004 Short Presentations Page 21

22 2.4 Setting the blobs S l (implicit) is discretized using particles [Witkin et al. 94] [Crossono et al. 97] Each particle has random variation of repulsion radius Particles centers blobs centers Particles repulsion radius blobs radius Eurographics 2004 Short Presentations Page 22

23 3 Rendering Not the purpose of this paper: minimal Model inspired from Gardner s Texture simulating higer levels Eurographics 2004 Short Presentations Page 23

24 4 Results Eurographics 2004 Short Presentations Page 24

25 Eurographics 2004 Short Presentations Page 25

26 Eurographics 2004 Short Presentations Page 26

27 Eurographics 2004 Short Presentations Page 27

28 Eurographics 2004 Short Presentations Page 28

29 Eurographics 2004 Short Presentations Page 29

30 Eurographics 2004 Short Presentations Page 30

31 Eurographics 2004 Short Presentations Page 31

32 Eurographics 2004 Short Presentations Page 32

33 5 Conclusion + Fast rendering + Much detail + Animatable [Neyret 97] - Slow generation Future work: Huge geometry adaptive mesh Shaders realistic rendering, complex effects Animation Long term : cloudy sky, volcano smoke... Eurographics 2004 Short Presentations Page 33

34 Questions? Eurographics 2004 Short Presentations Page 34

35 Some math Blob surface: S i = {P R 3 /f i (P) = 1} (1) Implicit function: f i (P) = g i (P) + m i (P) + n i (P) + o i (P) (2) Flattened sphere: g i (P) = exp ( 1 d i r i (1 e i d l 1 ) ) (3) Contact surface: m i (P) = j m j i (P) (4) m j i (P) = (1 ɛ g j (P)) min(1, g 2 j (P)) (5) Base enlarging: n i (P) = b min l 1 1, e Id r i e1 d i r i (6) Flat base: o i (P) = g i (P) min ( 0, height(p) h 0 α h ) (7) Eurographics 2004 Short Presentations Page 35

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