lattice op• 資料種類:無 → table(僅由參數決定的運算子 —— 不接受影像或資料輸入)
• 呼叫: import fullseye as fs; fs.ledger.fly_vogel_lattice(radius=15, dphi_deg=4.63, az0_deg=0.0, el0_deg=0.0, density_power=0.5, angle_deg=np.float64(137.50776405003785))(要直接呼叫實作,import flyvision; flyvision.fly_vogel_lattice(radius=15, dphi_deg=4.63, az0_deg=0.0, el0_deg=0.0, density_power=0.5, angle_deg=np.float64(137.50776405003785));從台帳取用則 opsflyvision.get("fly_vogel_lattice"))
費波那契（Vogel 螺旋）複眼：與六角眼相同的小眼數和平均間距，但沒有晶格。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
Point k sits at the angular radius rho_k = rho_max ((k + 1/2)/n)^p from the optical axis and at the position angle k * angle_deg around it — the arrangement of sunflower florets (Vogel 1979), here on the sphere. The ommatidia count is the hexagon's n = 3 radius (radius + 1) + 1 and rho_max is solved so that the mean nearest-neighbour angle equals dphi_deg, which makes the two eyes directly comparable: same number of samples, same average density, and only the *arrangement* differs. The reciprocal of a hexagonal lattice is six sharp points, so a texture past its Nyquist limit folds into one sharp false stripe (moire); the Vogel spiral has no reciprocal lattice, so the same texture folds into a ring of weak noise — the question the zebra PoC asks is which an eye would rather have.
radius / dphi_deg / az0_deg / el0_deg: as fly_hex_lattice.
density_power: p in (0, 1]. 0.5 is uniform density; above it the
centre is denser (a fovea / acute zone: density ∝ k^(1 - 2p)), below it
the rim is.
angle_deg: the divergence angle, the golden angle by default.
Returns a lattice dict with the keys of fly_hex_lattice — "uv" holds (k, 0), the spiral index, so (0, 0) is still the ommatidium nearest the axis — plus "geometry": "vogel", "rho_rad" (the angular radius of each ommatidium), "nn_rad" (its nearest-neighbour angle) and "density_power". The ops that need a *hexagonal neighbour* (fly_t4t5_field, fly_flow_from_directions) refuse it; the ops that need only directions (fly_view_plane_texture, fly_expansion_readout, lattice_moire_peak, fly_matched_filter, fly_egomotion_from_flow) take it.
Ground truth (pinned in the tests): n == 3 radius (radius + 1) + 1, every direction is a unit vector, mean(nn_rad) == dphi to 1e-6, the coefficient of variation of the nearest-neighbour angle at p = 0.5 is 0.012 (below 0.03; a hexagon's is 0, and p = 0.65 gives 0.14), and the Delaunay triangulation of the gnomonic projection has a mean degree within 0.5 of 6 (5.85 for 721 ommatidia; the deficit is the rim).
Raises ValueError: a *radius* outside [2, MAX_LATTICE_RADIUS], a non-positive *dphi_deg*, a *density_power* outside (0, 1], a non-finite angle, and a divergence angle that is a multiple of 360 (all points on one ray).
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者、年份)與用途見上面的族使用指南。
• poc_print_registration — py -3.11 examples/poc_print_registration.py
• poc_zebra_stripes_fly_eye — py -3.11 examples/poc_zebra_stripes_fly_eye.py
table 作為輸入)fly_t4t5_field · fly_flow_from_directions · fly_matched_filter · fly_egomotion_from_flow · fly_eye_merge · fly_view_plane_texture · fly_hex_resample · fly_expansion_readout
lattice)*Provenance: flyvision.py — FLYVISION 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.