Fix carousel: full-width image slides with transform animation

Replaced horizontal scroll tags with original-style carousel:
- Full-width slides with background image + gradient overlay
- translateX transform animation (0.4s ease)
- Left/right arrow buttons (semi-transparent, blur backdrop)
- Dot indicators with active state (elongated pill)
- Category filter banner when a category is selected
- Click slide to filter recipes by category tag

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

frontend/src/views/RecipeSearch.vue

@@ -1,21 +1,38 @@
 <template>
   <div class="recipe-search">
-    <!-- Category Carousel -->
-    <div class="cat-wrap" v-if="categories.length">
-      <button class="cat-arrow cat-arrow-left" @click="scrollCat(-1)" :disabled="catScrollPos <= 0">&lsaquo;</button>
-      <div class="cat-track" ref="catTrack">
+    <!-- Category Carousel (full-width image slides) -->
+    <div class="cat-wrap" v-if="categories.length && !selectedCategory">
+      <div class="cat-track" :style="{ transform: `translateX(-${catIdx * 100}%)` }">
         <div
           v-for="cat in categories"
           :key="cat.name"
           class="cat-card"
-          :class="{ active: selectedCategory === cat.name }"
-          @click="toggleCategory(cat.name)"
+          :style="{ backgroundImage: cat.bg_image ? `url(${cat.bg_image})` : `linear-gradient(135deg, ${cat.color_from || '#7a9e7e'}, ${cat.color_to || '#5a7d5e'})` }"
+          @click="selectCategory(cat)"
         >
-          <span class="cat-icon">{{ cat.icon || '📁' }}</span>
-          <span class="cat-label">{{ cat.name }}</span>
+          <div class="cat-inner">
+            <div class="cat-icon">{{ cat.icon || '🌿' }}</div>
+            <div class="cat-name">{{ cat.name }}</div>
+            <div v-if="cat.subtitle" class="cat-sub">{{ cat.subtitle }}</div>
+          </div>
         </div>
       </div>
-      <button class="cat-arrow cat-arrow-right" @click="scrollCat(1)">&rsaquo;</button>
+      <button class="cat-arrow left" @click="slideCat(-1)">‹</button>
+      <button class="cat-arrow right" @click="slideCat(1)">›</button>
+    </div>
+    <div class="cat-dots" v-if="categories.length > 1 && !selectedCategory">
+      <span
+        v-for="(cat, i) in categories"
+        :key="i"
+        class="cat-dot"
+        :class="{ active: catIdx === i }"
+        @click="catIdx = i"
+      ></span>
+    </div>
+    <!-- Category filter active banner -->
+    <div v-if="selectedCategory" class="cat-filter-bar">
+      <span>📂 {{ selectedCategory }}</span>
+      <button @click="selectedCategory = null; catIdx = 0" class="btn-sm btn-outline">✕ 返回全部</button>
     </div>
 
     <!-- Search Box -->
@@ -126,8 +143,7 @@ const categories = ref([])
 const selectedRecipeIndex = ref(null)
 const showMyRecipes = ref(true)
 const showFavorites = ref(true)
-const catScrollPos = ref(0)
-const catTrack = ref(null)
+const catIdx = ref(0)
 
 onMounted(async () => {
   try {
@@ -140,15 +156,13 @@ onMounted(async () => {
   }
 })
 
-function toggleCategory(name) {
-  selectedCategory.value = selectedCategory.value === name ? null : name
+function selectCategory(cat) {
+  selectedCategory.value = cat.tag_name || cat.name
 }
 
-function scrollCat(dir) {
-  if (!catTrack.value) return
-  const scrollAmount = 200
-  catTrack.value.scrollLeft += dir * scrollAmount
-  catScrollPos.value = catTrack.value.scrollLeft + dir * scrollAmount
+function slideCat(dir) {
+  const len = categories.value.length
+  catIdx.value = (catIdx.value + dir + len) % len
 }
 
 const filteredRecipes = computed(() => {
@@ -219,55 +233,121 @@ function clearSearch() {
 
 .cat-wrap {
   position: relative;
-  display: flex;
-  align-items: center;
-  margin-bottom: 16px;
-  gap: 4px;
+  margin: 0 -12px 20px;
+  overflow: hidden;
 }
 
 .cat-track {
   display: flex;
-  gap: 10px;
-  overflow-x: auto;
-  scroll-behavior: smooth;
-  flex: 1;
-  padding: 8px 0;
-  scrollbar-width: none;
-}
-
-.cat-track::-webkit-scrollbar {
-  display: none;
+  transition: transform 0.4s ease;
+  will-change: transform;
 }
 
 .cat-card {
+  flex: 0 0 100%;
+  min-height: 200px;
+  position: relative;
+  overflow: hidden;
+  cursor: pointer;
+  background-size: cover;
+  background-position: center;
+}
+
+.cat-card::after {
+  content: '';
+  position: absolute;
+  inset: 0;
+  background: linear-gradient(135deg, rgba(0,0,0,0.45), rgba(0,0,0,0.25));
+}
+
+.cat-inner {
+  position: relative;
+  z-index: 1;
+  height: 100%;
   display: flex;
   flex-direction: column;
+  justify-content: center;
   align-items: center;
-  gap: 4px;
-  padding: 10px 16px;
-  border-radius: 12px;
-  background: #f8f7f5;
-  cursor: pointer;
-  white-space: nowrap;
-  font-size: 13px;
-  transition: all 0.2s;
-  min-width: 64px;
-  border: 1.5px solid transparent;
-}
-
-.cat-card:hover {
-  background: #f0eeeb;
-}
-
-.cat-card.active {
-  background: linear-gradient(135deg, #e8f5e9, #c8e6c9);
-  border-color: #7ec6a4;
-  color: #2e7d5a;
-  font-weight: 600;
+  padding: 36px 24px;
+  color: white;
+  text-align: center;
 }
 
 .cat-icon {
-  font-size: 20px;
+  font-size: 48px;
+  margin-bottom: 10px;
+  filter: drop-shadow(0 2px 6px rgba(0,0,0,0.3));
+}
+
+.cat-name {
+  font-family: 'Noto Serif SC', serif;
+  font-size: 24px;
+  font-weight: 700;
+  letter-spacing: 3px;
+  text-shadow: 0 2px 8px rgba(0,0,0,0.5);
+}
+
+.cat-sub {
+  font-size: 13px;
+  margin-top: 6px;
+  opacity: 0.9;
+  letter-spacing: 1px;
+}
+
+.cat-arrow {
+  position: absolute;
+  top: 50%;
+  transform: translateY(-50%);
+  z-index: 2;
+  width: 36px;
+  height: 36px;
+  border-radius: 50%;
+  background: rgba(255,255,255,0.25);
+  border: none;
+  color: white;
+  font-size: 18px;
+  cursor: pointer;
+  backdrop-filter: blur(4px);
+  display: flex;
+  align-items: center;
+  justify-content: center;
+  transition: background 0.2s;
+}
+.cat-arrow:hover { background: rgba(255,255,255,0.45); }
+.cat-arrow.left { left: 12px; }
+.cat-arrow.right { right: 12px; }
+
+.cat-dots {
+  display: flex;
+  justify-content: center;
+  gap: 8px;
+  margin-bottom: 14px;
+}
+.cat-dot {
+  width: 8px;
+  height: 8px;
+  border-radius: 50%;
+  background: var(--border, #e0d4c0);
+  cursor: pointer;
+  transition: all 0.25s;
+}
+.cat-dot.active {
+  background: var(--sage, #7a9e7e);
+  width: 22px;
+  border-radius: 4px;
+}
+
+.cat-filter-bar {
+  display: flex;
+  align-items: center;
+  justify-content: space-between;
+  background: var(--sage-mist, #eef4ee);
+  border-radius: 10px;
+  padding: 10px 16px;
+  margin-bottom: 16px;
+  font-size: 14px;
+  font-weight: 600;
+  color: var(--sage-dark, #5a7d5e);
 }
 
 .cat-label {