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// Gabor 滤波(纯 MoonBit)
///|
/// Gabor 滤波器。
/// g(x,y) = exp(-(x'²+γ²y'²)/(2σ²)) * cos(2πx'/λ + φ)
/// 其中 x' = x*cos(θ) + y*sin(θ), y' = -x*sin(θ) + y*cos(θ)
/// 适用于灰度图(channels=1)或 RGB/RGBA 图(channels=3/4)。
/// ksize 为核大小(奇数),sigma 为标准差,theta 为方向(弧度),
/// lambda 为波长,gamma 为空间纵横比(默认 0.5),phi 为相位偏移(默认 0)。
pub fn gabor_filter(
img : @types.Image,
ksize : Int,
sigma : Float,
theta : Float,
lambda? : Float = 10.0F,
gamma? : Float = 0.5F,
phi? : Float = 0.0F,
) -> @types.Image raise @types.LoadError {
// 输入验证
if img.width <= 0 || img.height <= 0 {
raise @types.LoadError::DecodeFailed(
"gabor_filter: 图像尺寸必须大于0",
)
}
if img.channels != 1 && img.channels != 3 && img.channels != 4 {
raise @types.LoadError::DecodeFailed(
"gabor_filter: 仅支持 channels=1/3/4",
)
}
let expected_size = img.width * img.height * img.channels
if img.data.length() != expected_size {
raise @types.LoadError::DecodeFailed(
"gabor_filter: 数据大小不匹配,期望 " +
expected_size.to_string() +
",实际 " +
img.data.length().to_string(),
)
}
if gamma <= 0.0F {
raise @types.LoadError::DecodeFailed("gabor_filter: gamma必须大于0")
}
if ksize < 3 || ksize > 31 || ksize % 2 == 0 {
raise @types.LoadError::DecodeFailed(
"ksize 必须为 3..31 之间的奇数",
)
}
if sigma <= 0.0F {
raise @types.LoadError::DecodeFailed("sigma 必须 > 0")
}
if lambda <= 0.0F {
raise @types.LoadError::DecodeFailed("lambda 必须 > 0")
}
let ch = img.channels
let w = img.width
let h = img.height
let n = w * h
if n == 0 {
return img
}
// 生成 Gabor 核
let half = ksize / 2
let kernel : Array[Float] = Array::make(ksize * ksize, 0.0F)
let cos_t = @math.cosf(theta)
let sin_t = @math.sinf(theta)
for ky in 0..<ksize {
for kx in 0..<ksize {
let x = Float::from_int(kx - half)
let y = Float::from_int(ky - half)
let x_prime = x * cos_t + y * sin_t
let y_prime = -x * sin_t + y * cos_t
let gaussian = @math.expf(
-(x_prime * x_prime + gamma * gamma * y_prime * y_prime) /
(2.0F * sigma * sigma),
)
let wave = @math.cosf(2.0F * 3.14159265F * x_prime / lambda + phi)
let val = gaussian * wave
kernel[ky * ksize + kx] = val
}
}
// 预计算像素 Float 数组,避免内层循环重复类型转换
let src : Array[Float] = Array::make(n * ch, 0.0F)
for i in 0..<(n * ch) {
src[i] = Float::from_int(img.data[i].to_int())
}
// 卷积,分离内部/边界区域,ch=1 特化消除内层通道循环
let out : Array[Byte] = Array::make(n * ch, b'\x00')
if ch == 1 {
// 内部区域
for y in half..<(h - half) {
for x in half..<(w - half) {
let mut sum = 0.0F
let base = (y - half) * w + (x - half)
for ky in 0..<ksize {
let row = base + ky * w
let krow = ky * ksize
for kx in 0..<ksize {
sum += src[row + kx] * kernel[krow + kx]
}
}
let val = sum.to_int()
out[y * w + x] = val.clamp(min=0, max=255).to_byte()
}
}
// 边界区域
for y in 0..<h {
let y_inner = y >= half && y < h - half
for x in 0..<w {
if y_inner && x >= half && x < w - half {
continue
}
let mut sum = 0.0F
for ky in 0..<ksize {
for kx in 0..<ksize {
let px = (x + kx - half).clamp(min=0, max=w - 1)
let py = (y + ky - half).clamp(min=0, max=h - 1)
sum += src[py * w + px] * kernel[ky * ksize + kx]
}
}
let val = sum.to_int()
out[y * w + x] = val.clamp(min=0, max=255).to_byte()
}
}
} else {
for c in 0..<ch {
if ch == 4 && c == 3 {
for i in 0..<n {
out[i * ch + 3] = img.data[i * ch + 3]
}
continue
}
// 内部区域
for y in half..<(h - half) {
for x in half..<(w - half) {
let mut sum = 0.0F
let base = (y - half) * w + (x - half)
for ky in 0..<ksize {
let row = (base + ky * w) * ch + c
let krow = ky * ksize
for kx in 0..<ksize {
sum += src[row + kx * ch] * kernel[krow + kx]
}
}
let val = sum.to_int()
out[(y * w + x) * ch + c] = val.clamp(min=0, max=255).to_byte()
}
}
// 边界区域
for y in 0..<h {
let y_inner = y >= half && y < h - half
for x in 0..<w {
if y_inner && x >= half && x < w - half {
continue
}
let mut sum = 0.0F
for ky in 0..<ksize {
for kx in 0..<ksize {
let px = (x + kx - half).clamp(min=0, max=w - 1)
let py = (y + ky - half).clamp(min=0, max=h - 1)
sum += src[(py * w + px) * ch + c] * kernel[ky * ksize + kx]
}
}
let val = sum.to_int()
out[(y * w + x) * ch + c] = val.clamp(min=0, max=255).to_byte()
}
}
}
}
@types.Image::{
width: w,
height: h,
channels: ch,
data: Bytes::from_array(out),
}
}
///|
/// Gabor 滤波器组(多方向)。
/// 对图像应用多个方向的 Gabor 滤波器,返回每个方向的响应幅值之和。
/// 适用于灰度图(channels=1)或 RGB/RGBA 图(channels=3/4)。
/// num_orientations 为方向数(默认 4,即 0°/45°/90°/135°)。
pub fn gabor_filter_bank(
img : @types.Image,
ksize : Int,
sigma : Float,
num_orientations? : Int = 4,
lambda? : Float = 10.0F,
gamma? : Float = 0.5F,
) -> @types.Image raise @types.LoadError {
// 输入验证
if img.width <= 0 || img.height <= 0 {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: 图像尺寸必须大于0",
)
}
if img.channels != 1 && img.channels != 3 && img.channels != 4 {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: 仅支持 channels=1/3/4",
)
}
let expected_size = img.width * img.height * img.channels
if img.data.length() != expected_size {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: 数据大小不匹配,期望 " +
expected_size.to_string() +
",实际 " +
img.data.length().to_string(),
)
}
if ksize < 3 || ksize > 31 || ksize % 2 == 0 {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: ksize必须为3..31之间的奇数",
)
}
if sigma <= 0.0F {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: sigma必须大于0",
)
}
if lambda <= 0.0F {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: lambda必须大于0",
)
}
if gamma <= 0.0F {
raise @types.LoadError::DecodeFailed(
"gabor_filter_bank: gamma必须大于0",
)
}
if num_orientations < 1 || num_orientations > 16 {
raise @types.LoadError::DecodeFailed(
"num_orientations 必须在 1..16 之间",
)
}
let ch = img.channels
let w = img.width
let h = img.height
let n = w * h
if n == 0 {
return img
}
// 累加各方向响应
let accum : Array[Float] = Array::make(n * ch, 0.0F)
for i in 0..<num_orientations {
let theta = Float::from_int(i) *
3.14159265F /
Float::from_int(num_orientations)
let filtered = gabor_filter(img, ksize, sigma, theta, lambda~, gamma~)
for j in 0..<(n * ch) {
accum[j] += Float::from_int(filtered.data[j].to_int())
}
}
// 归一化
let out : Array[Byte] = Array::make(n * ch, b'\x00')
for j in 0..<(n * ch) {
let val = (accum[j] / Float::from_int(num_orientations)).to_int()
out[j] = val.clamp(min=0, max=255).to_byte()
}
@types.Image::{
width: w,
height: h,
channels: ch,
data: Bytes::from_array(out),
}
}
///|
/// 生成 Gabor 核(返回核矩阵,用于可视化或调试)。
pub fn gabor_kernel(
ksize : Int,
sigma : Float,
theta : Float,
lambda? : Float = 10.0F,
gamma? : Float = 0.5F,
phi? : Float = 0.0F,
) -> Array[Array[Float]] raise @types.LoadError {
// 参数验证
if ksize < 3 || ksize > 31 || ksize % 2 == 0 {
raise @types.LoadError::DecodeFailed(
"gabor_kernel: ksize必须为3..31之间的奇数",
)
}
if sigma <= 0.0F {
raise @types.LoadError::DecodeFailed("gabor_kernel: sigma必须大于0")
}
if lambda <= 0.0F {
raise @types.LoadError::DecodeFailed("gabor_kernel: lambda必须大于0")
}
if gamma <= 0.0F {
raise @types.LoadError::DecodeFailed("gabor_kernel: gamma必须大于0")
}
let half = ksize / 2
let kernel : Array[Array[Float]] = Array::make(ksize, [])
for i in 0..<ksize {
kernel[i] = Array::make(ksize, 0.0F)
}
let cos_t = @math.cosf(theta)
let sin_t = @math.sinf(theta)
for ky in 0..<ksize {
for kx in 0..<ksize {
let x = Float::from_int(kx - half)
let y = Float::from_int(ky - half)
let x_prime = x * cos_t + y * sin_t
let y_prime = -x * sin_t + y * cos_t
let gaussian = @math.expf(
-(x_prime * x_prime + gamma * gamma * y_prime * y_prime) /
(2.0F * sigma * sigma),
)
let wave = @math.cosf(2.0F * 3.14159265F * x_prime / lambda + phi)
kernel[ky][kx] = gaussian * wave
}
}
kernel
}