A collision-based model of spiral phyllotaxis

Fowler, Deborah R.; Prusinkiewicz, Przemysław; Battjes, Johannes

doi:10.1145/133994.134093

Cited by 31 publications

(21 citation statements)

References 6 publications

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“…Both the radius and the organ size can be defined as functions of organ position on the receptacle, making it possible to capture a wide range of forms and patterns. The proposed model has the same generative power as the collision-based model of phyllotaxis introduced by Fowler et al [11], but operates faster because it avoids the explicit detection of collisions between organs. Vogel [35] provided the first mathematical description of phyllotactic patterns used for computer graphics purposes [28].…”

Section: Compact Phyllotactic Patternsmentioning

confidence: 99%

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The use of positional information in the modeling of plants

Prusinkiewicz

Mündermann

Karwowski

et al. 2001

Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques

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We integrate into plant models three elements of plant representation identified as important by artists: posture (manifested in curved stems and elongated leaves), gradual variation of features, and the progression of the drawing process from overall silhouette to local details. The resulting algorithms increase the visual realism of plant models by offering an intuitive control over plant form and supporting an interactive modeling process. The algorithms are united by the concept of expressing local attributes of plant architecture as functions of their location along the stems.Keywords: realistic image synthesis, interactive procedural modeling, plant, positional information, phyllotaxis, Chomsky grammar, L−system, differential turtle geometry, generalized cylinder. Reference The use of positional information in the modeling of plants AbstractWe integrate into plant models three elements of plant representation identified as important by artists: posture (manifested in curved stems and elongated leaves), gradual variation of features, and the progression of the drawing process from overall silhouette to local details. The resulting algorithms increase the visual realism of plant models by offering an intuitive control over plant form and supporting an interactive modeling process. The algorithms are united by the concept of expressing local attributes of plant architecture as functions of their location along the stems.

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Section: Compact Phyllotactic Patternsmentioning

confidence: 99%

“…is then equal to the total number of organs placed in the portion In realistic models, we replace spheres Ç by models of plant organs, as in [11]. For example, Figure 14 shows two developmental stages of the inflorescence of Kniphofia sp.…”

Section: Compact Phyllotactic Patternsmentioning

confidence: 99%

The use of positional information in the modeling of plants

Prusinkiewicz

Mündermann

Karwowski

et al. 2001

Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques

Self Cite

209

158

View full text Add to dashboard Cite

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“…The tentacles are placed on the foot using a collision-based simulation of spiral phyllotaxis [Fowler et al 1992]. Figure 4 shows some examples of patterns for various radii of the foot, the mouth and the base of the tentacles.…”

Section: Modelingmentioning

confidence: 99%

Physically based animation of sea anemones in real-time

Aliaga

Larboulette

2009

Proceedings of the 25th Spring Conference on Computer Graphics

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Figure 1: Anemone and Fish animations. Top row, the attractive fish swims from right to left over a Strawberry anemone: when the regal tang fish is close enough, the associated Hole field is activated (white sphere) and the tentacles are deformed. Bottom row, the repulsive fish swims from left to right over an Anthopleura xanthogrammica: the associated Source field creates deformations of the anemone's tentacles when the clown fish passes by. AbstractThis paper presents a technique for modeling and animating fiberlike objects such as sea anemones tentacles in real-time. Each fiber is described by a generalized cylinder defined around an articulated skeleton. The dynamics of each individual fiber is controlled by a physically based simulation that updates the position of the skeleton's frames over time. We take into account the forces generated by the surrounding fluid as well as a stiffness function describing the bending behavior of the fiber. High level control of the animation is achieved through the use of four types of singularities to describe the three-dimensional continuous velocity field representing the fluid. We thus animate hundreds of fibers by key-framing only a small number of singularities. We apply this algorithm on a seascape composed of many sea anemones. We also show that our algorithm is more general and can be applied to other types of objects composed of fibers such as seagrasses.

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“…For β often the angle 360/ϕ is used where ϕ = (1 + √ 5)/2 is the golden section. This is a result of the study of phyllotaxis, the arrangement of leaves on a stem, and is as such also applied in [4,8] for modeling plants and trees. …”

Section: Strand Model Of Botanical Treesmentioning

confidence: 99%

“…The positioning of the, possibly different sized, spots on the sphere is done again with a method from botanical modeling. In [4] such a method is given, here we use a less involved method given in [8]. In this last method items are placed on a sphere using a so-called phi-ball, a sphere that is divided in as many horizontal slices as there are items (here files) to be placed.…”

Section: Files As Fruitmentioning

confidence: 99%